DAD: Upon inputting a sender's identity [ID.sub.s], the

ciphertext [sigma], and a receiver's private key [mathematical expression not reproducible], the receiver calculates [mathematical expression not reproducible], obtaining either the message m or [perpendicular to] when [sigma] is an invalid

ciphertext.

Their FHE scheme is constructed from a somewhat homomorphic scheme, a scheme that can evaluates low degree polynomial on

ciphertext. To achieve fully homomorphic properties, they have implemented squashing technique introduced by Gentry.

After the cloud server receives the request f(), it runs Eval and outputs the resulting

ciphertext [??] to the requester.

ciphertext; and the password, i.e., the secret information needed to

Input : a

ciphertext [CT.sub.F], a file tag value [Tag.sub.F], a secret key [mathematical expression not reproducible] Output : an expected response array [ResArr.sub.Clt] (1) for i in [1, 3] (2) [mathematical expression not reproducible] (3) for j in[1, t] (4) [mathematical expression not reproducible] (5) [mathematical expression not reproducible] (6) [mathematical expression not reproducible] (7) [sigma] [left arrow] [CT.sub.F][[[pi].sub.k](1)] [parallel] ...

The definitions assume that a set of attributes describes a group access structure and the

ciphertext embeds the access structure.

With the implementation, examine the computational time for STAMP, time with respect to packet size for blowfish algorithm and encryption and decryption time in

Ciphertext Policy Attribute Based Encryption method.

If an attacker wants to make replay attack in the same period, then it should modify [r.sub.0] in

ciphertext [mathematical expression not reproducible] that is also impossible.

(2) The encryption algorithm Enc(k,m): on inputting a key k [member of] K and a message m [member of] M, Enc outputs a

ciphertext c [member of] C

By (14), the plaintext equations, that is, the initial round equation system, can be obtained as (21), and the

ciphertext equations can be obtained as (22).

The DNA sequence is mainly used for

ciphertext diffusion as well as the generation of hash values.